Duality in analytic number theory

Duality in analytic number theory

by Elliott, P. D. T. A.

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Title Statements

  • Full title :Duality in analytic number theory / P.D.T.A. Elliott.

Edition Statements

  • Publication Date:1997

Publication Statements

Notes

Title from publishers bibliographic system (viewed on 22 Dec 2011).

The Physical Object

  • Description:1 online resource (xviii, 341 Seiten)

Edition Identifiers

  • ISBN:9780511983405, 0511983409, 9780521560887, 0521560888
  • DOI:10.1017/CBO9780511983405
  • oclc:ocn992853120
  • LC Classification:QA241
  • Dewey Decimal:512.73

Table of Contents

0. Duality and Fourier analysis -- 1. Background philosophy -- 2. Operator norm inequalities -- 3. Dual norm inequalities -- 4. Exercises: Including the Large Sieve -- 5. The method of the stable dual (1): Deriving the approximate functional equations -- 6. The method of the stable dual (2): Solving the approximate functional equations -- 7. Exercises: Almost linear, Almost exponential -- 8. Additive functions of the class [actual symbol not reproducible]. A first application of the method -- 9. Multiplicative functions of the class [actual symbol not reproducible]: First Approach -- 10. Multiplicative functions of the class [actual symbol not reproducible]: Second Approach -- 11. Multiplicative functions of the class [actual symbol not reproducible]: Third Approach -- 12. Exercises: Why the form? -- 13. Theorems of Wirsing and Halasz -- 14. Again Wirsing's Theorem -- 15. Exercises: The prime number theorem -- 16. Finitely distributed additive functions.

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